The TI RP/M disks were usually in single density format, as the Foundation card used the PEB's disk controller. Kaypro disks could be anything from a SSSD to DSDD format back then, as the Kaypro II supported all of those formats. If you have the disks from a MorningStar CP/M card, those used the Osborne I disk format--but the MorningStar card used its onboard disk controller, not the regular PEB controller (so it had to have dedicated drives in an external case). I believe the Osborne was expecting DD disks.
A 1.2 Meg drive won't read these well, if at all--and since the Foundation disks would have been in single density, your current setup won't read them in any event.
One sure way to read them no matter what the original formatting would be to get a 360K drive in an external case and connect it to either a Cryoflux board or a SuperCard Pro. The drive connects to the Device and the device connects via the USB port. The controller is on the device, so it doesn't matter if the motherboard has the SD support or not--the device reads them and saves the images to the PC. Both devices have been tested with TI disks. . .